What is 52.2 percent of 8.2 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 8.2 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 8.2 is 100%, so we can write it down as 8.2=100%.
4. We know, that x is 52.2% of the output value, so we can write it down as x=52.2%.
5. Now we have two simple equations:
1) 8.2=100%
2) x=52.2%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
8.2/x=100%/52.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 52.2% of 8.2

8.2/x=100/52.2
(8.2/x)*x=(100/52.2)*x       - we multiply both sides of the equation by x
8.2=1.9157088122605*x       - we divide both sides of the equation by (1.9157088122605) to get x
8.2/1.9157088122605=x
4.2804=x
x=4.2804

now we have:
52.2% of 8.2=4.2804